Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	58×	body	640	valid
3.0ms	146×	body	80	valid
2.0ms	34×	body	320	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
8.0ms	(/ 1.0 (+ x 1.0))
23.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ 1.0 (- x 1.0))
25.0ms	(/ 1.0 (+ x 1.0))
182.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	387	679
1	1331	648
2	5001	644

prune205.0ms

Filtered

111 candidates to 78 candidates (70.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.7b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.4b	(- (- x 1.0) (+ x 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-log-exp`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `times-frac`
7×	`diff-log`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
4×	`associate-/r*` `frac-sub`
3×	`pow1` `sub-neg` `associate-/l*`
2×	`flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

3 → 74

Calls

3 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

series101.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* x x) (* 1.0 1.0))
52.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	413	559
1	2021	517
2	5002	515

prune176.0ms

Filtered

83 candidates to 61 candidates (73.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)
0.7b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.4b	(- (- x 1.0) (+ x 1.0))
9.3b	(cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
59×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
17×	`difference-of-squares`
16×	`add-log-exp`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`diff-log` `distribute-lft-out--`
5×	`pow1` `div-inv`
4×	`associate-/r*` `frac-sub`
3×	`pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `sub-neg` `flip3-+` `unpow3` `div-exp` `pow-exp` `associate--l+` `sum-log` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `associate--r+`

Counts

4 → 169

Calls

4 calls:

7.0ms	(pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)
6.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))
8.0ms	(cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3))

series209.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)
53.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))
54.0ms	(cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3))

simplify102.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	750	1548
1	3941	1437
2	5003	1427

prune344.0ms

Filtered

181 candidates to 103 candidates (56.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)) (- 2.0))
0.0b	(pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)
0.7b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.3b	(cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
86×	`times-frac`
83×	`add-sqr-sqrt`
68×	`add-cube-cbrt` `*-un-lft-identity`
56×	`unpow-prod-down` `cube-prod`
45×	`associate-l`
22×	`difference-of-squares`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`associate-r` `add-cbrt-cube`
7×	`pow1` `flip3--` `flip--` `div-inv` `unswap-sqr`
4×	`associate-/r*` `add-log-exp` `sqr-pow`
3×	`cube-div` `distribute-lft-neg-in` `cube-mult` `pow-unpow` `distribute-rgt-neg-in` `unpow3` `associate-/l*`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `neg-mul-1` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `-commutative` `distribute-rgt-neg-out` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 216

Calls

4 calls:

20.0ms	(* (cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)) (- 2.0))
7.0ms	(pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.0ms	(cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3))

series257.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)) (- 2.0))
94.0ms	(pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3)
48.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
56.0ms	(cbrt (pow (/ 1.0 (- (* x x) (* 1.0 1.0))) 3))

simplify117.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	771	1988
1	3864	1863
2	5001	1850

prune604.0ms

Filtered

228 candidates to 133 candidates (58.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	9
1	20	9
2	27	9
3	30	9
4	30	9

end0.0ms

sample447.0ms

Algorithm

intervals

Results

152.0ms	1913×	body	640	valid
103.0ms	4180×	body	80	valid
79.0ms	1266×	body	320	valid
26.0ms	641×	body	160	valid